6444279900 has 108 divisors (see below), whose sum is σ = 20225080512. Its totient is φ = 1716276480.

The previous prime is 6444279887. The next prime is 6444279923. The reversal of 6444279900 is 99724446.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 772552 + ... + 780848.

It is an arithmetic number, because the mean of its divisors is an integer number (187269264).

Almost surely, 2^6444279900 is an apocalyptic number.

6444279900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6444279900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10112540256).

6444279900 is an abundant number, since it is smaller than the sum of its proper divisors (13780800612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6444279900 is a wasteful number, since it uses less digits than its factorization.

6444279900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9180 (or 9170 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6444279900 is about 80276.2723349808. The cubic root of 6444279900 is about 1860.9075522488.

The spelling of 6444279900 in words is "six billion, four hundred forty-four million, two hundred seventy-nine thousand, nine hundred".